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Rigid graph compression: motif-based rigidity analysis for disordered fiber networks

Abstract:

Using particle-scale models to accurately describe property enhancements and phase transitions in macroscopic behavior is a major engineering challenge in composite materials science. To address some of these challenges, we use the graph theoretic property of rigidity to model mechanical reinforcement in composites with stiff rod-like particles. We develop an efficient algorithmic approach called rigid graph compression (RGC) to describe the transition from floppy to rigid in disordered fiber...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1137/17M1157271

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Forest, MG More by this author
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Grant:
W911NF-13-1-0013 and W911NF-16-1-0356
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Grant:
21st Century Science Initiative Complex Systems Scholar Award (220020315)
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Journal website
Volume:
16
Issue:
3
Pages:
1283–1304
Publication date:
2018-08-21
Acceptance date:
2018-06-12
DOI:
EISSN:
1540-3467
ISSN:
1540-3459
Pubs id:
pubs:912193
URN:
uri:19e46043-b6dc-4cbb-a63c-3bd0b6389ea0
UUID:
uuid:19e46043-b6dc-4cbb-a63c-3bd0b6389ea0
Local pid:
pubs:912193

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